THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA

数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (4): 610-620.

THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA

邵志强,陈恕行

Department of Mathematics, Fuzhou University, Fuzhou, Fujian 350002, China Institute of Mathematics, Fudan University, Shanghai 200433, China

出版日期:2005-10-11 发布日期:2005-10-11
基金资助:
This research is supported by the National Natural Science Foundation of
China, the Special Funds for Major State Basic Research Projects of China, the Science and Technology Foun-
dation of Fujian Province(2001J009), and the Science and Technology Developmental Foundation of Fuzhou
University(2004-XQ-16).

THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA

SHAO Zhi-Jiang, CHEN Shu-Hang

Online:2005-10-11 Published:2005-10-11
Supported by:
This research is supported by the National Natural Science Foundation of
China, the Special Funds for Major State Basic Research Projects of China, the Science and Technology Foun-
dation of Fujian Province(2001J009), and the Science and Technology Developmental Foundation of Fuzhou
University(2004-XQ-16).

摘要/Abstract

摘要：

This paper studies the nonlinear mixed problem for a class of symmetric hyperbolic
systems with the boundary condition satisfying the dissipative condition about
discontinuous data in higher dimension spaces, establishes the local existence theorem by
using the method of a prior estimates, and obtains the structure of singularities of the
solutions of such problems.

Abstract:

Key words: Nonlinear mixed problem, discontinuous data, symmetric hyperbolic systems

中图分类号:

35L70

邵志强, 陈恕行. THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA[J]. 数学物理学报(英文版), 2005, 25(4): 610-620.

SHAO Zhi-Jiang, CHEN Shu-Hang. THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA[J]. Acta mathematica scientia,Series B, 2005, 25(4): 610-620.

[1]	薛儒英, 方道元. GLOBAL EXISTENCE OF SOLUTIONS FOR QUADRATIC QUASI-LINEAR KLEIN-GORDON SYSTEMS IN ONE SPACE DIMENSION[J]. 数学物理学报(英文版), 2005, 25(2): 340-358.
[2]	杨晗, 刘法贵. REMARKS ON THE LIFESPAN FOR THE SOLUTION TO NONLINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS[J]. 数学物理学报(英文版), 2003, 23(1): 16-22.
[3]	方道元. EXISTENCE TIME FOR SOLUTIONS OF SEMILINEAR DIFFERENT SPEED KLEIN-GORDON SYSTEM WITH WEAK DECAY DATA IN 1D[J]. 数学物理学报(英文版), 2002, 22(1): 79-98.

THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA

THE MIXED PROBLEM FOR A CLASS OF NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS WITH DISCONTINUOUS DATA

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

Metrics

本文评价

推荐阅读 10